Unit 1: Number and Algebra
Topic 1.1: Number Operations and Approximation Questions
Practice 20 exam-style questions for IB Math AI SL Topic 1.1. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1calculate3 marks
A tank contains 6.8 × 10⁶ L of water. During a dry week, 2.3 × 10⁶ L are used.
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Express 7.2 × 10⁻³ as an ordinary number.
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A machine prints 4.5 × 10³ labels each hour for 2.0 × 10² hours.
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A factory makes 2.5 × 10³ boxes each day for 4.0 × 10² days.
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Explain why 0.72 × 10⁴ is not valid standard form.
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Rewrite 0.72 × 10⁴ in valid standard form.
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Which statement is always true for a number written as a × 10ⁿ in standard form?
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A science sensor records a bacterium length as 4.1 × 10⁻⁵ m.
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Which of the following correctly writes 73 000 000 in standard form?
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Write 6.4 × 10⁻³ as an ordinary number.
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Write 3.08 × 10⁵ as an ordinary number.
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Write 9.05 × 10⁻⁴ as an ordinary number.
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Write 2.4 × 10⁶ as an ordinary number.
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Which of the following correctly writes 0.00073 in standard form?
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Write 1.07 × 10³ as an ordinary number.
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Which of the following correctly writes 6 200 000 in standard form?
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A stadium holds 7.25 × 10⁴ people. Write this as an ordinary number.
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Which is written in valid standard form?
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A student writes 0.00041 for 4.1 × 10⁻⁵. Correct the answer.
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Write each number in standard form: (a) 0.000064 (b) 9 300 000. Then explain why 0.93 × 10⁷ is not valid standard form.
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